White spot on search screen iPhone 11 pro

OK......I've figured this out and I don't think there's an issue with your screen.

I am guessing this is a Transparency setting. To check, go to Settings > Accessibility > Turn on Reduce Transparency

Then go back into Search in Safari and I'm betting you won't see this. This is caused by having Transparency enabled.

I see it. Do you see this haze anywhere else? If you don't, I wouldn't be too worried about it. I see you are using Dark Mode. If you see this in other apps/pages, then I'd schedule an appointment at your Apple Store Genius Bar and show it to Apple.

Post a screen shot so we can see what you're seeing.

I think thats probably a software issue. You should force restart your iPhone on your iPhone click the Volume up and then the Volume down button then hold the power button.

The only thing I see is the emoji smiley face from your keyboard?